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Finding the Third Proportional to 398,912 and 864,284

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Solution

The third proportional to 398,912 and 864,284 is: 1,872,560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,912 : 864,284 = 864,284 : x
  2. Step 2: Convert to fraction form
    398,912/864,284 = 864,284/x
  3. Step 3: Cross multiply
    398,912x = 864,284 × 864,284
  4. Step 4: Simplify right side
    398,912x = 746,986,832,656
  5. Step 5: Solve for x
    x = 746,986,832,656/398,912
  6. Step 6: Final answer
    x = 1,872,560.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.